Under the goals of carbon peaking and carbon neutrality, carbon emission reduction is an inevitable choice for firms, which affects firms’ mergers and acquisitions (M&A) decisions in the industry. In addition, facing numerous economic risks, M&A is one of the feasible ways for firms in the manufacturing industry to seek development. According to CV source of Statistics' data on China's M&A market for 2021, the manufacturing sector was predominant in both quantity and disclosed transaction volume. With 774 transactions, it constituted 19.6% of all deals. Furthermore, it also accounted for the largest disclosed transaction volume at 45.094 billion dollars, contributing 20.8% to the total. Carbon emission reduction yields two distinct effects:While it mitigates the negative impact of societal and environmental concerns on product pricing, it concurrently increases firms' operating costs due to the expenses of implementation. As a result, firms strive to identify an optimal carbon emission reduction strategy to enhance their profitability. Based on this, an oligopoly industry M&A model is constructed. The real-options approach is utilized to study the impact mechanism of carbon emission reduction on the industry's product market equilibrium and firms' M&A decisions, and provides possible theoretical guidance for government policy formulation and firms' M&A decisions.Following Aguerrevere(2003), Bigerna(2019), Chevalier-Roignant and Kort(2020), it is assumed that the inverse demand function of industry products at time t is given by:where denotes all firms at the moment observed industry demand shocks. The industry demand shocks is given by:where denotes the demand exposure to industry-wide shocks, and denotes the sensitivity of demand price, and ,are positive constant. Where is constant represents the proportion of carbon emissions handled by firm , represents social environment concern, is the output of firm , and is the industry-wide output, and is given by:where represents the expected growth rate, represents the volatility, 、are positive constant, and is a standard Brownian motion.where denotes the conditional expectation operator, given that the current industry shock takes the value . Consider that there are two types of firms in this industry before M&A that is, large and small firm, and the capital stocks are and , respectively, where ,and. Without loss of generality, the model considers a merger between a large firm and a small firm in the industry. The merged firm is called a super large firm, and its capital stock is .the profit of firm consists of three parts product revenue , production cost , and carbon emission reduction cost . Following Hackbarth and Miao Jianjun(2012), the cost function brought by the output is quadratic canonical form, and is given by, and it is assumed that shareholders are risk neutral and the discount factor is risk-free rate . To ensure that the present value of profits is finite, the model assumes .